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Math - Algebra I
| 17 November 2009
Course Description:
This class is a study of the language, concepts, and techniques of Algebra that will prepare students to approach and solve problems following a logical succession of steps. Skills taught in the course lay groundwork for upper level math and science courses and have practical uses. This course is primarily offered to grades 9-12, however, 8th graders who have demonstrated exceptional abilities in mathematics may request to take this course. The following topics are covered in this course:
1st Quarter
1. Connections to Algebra
Concepts: Variables in Algebra, Exponents and Powers, Order of Operations, Equations and Inequalities, Problem Solving Plan Using Models, Tables and Graphs, Introduction to Functions
2. Properties of Real Numbers
Concepts: Real Number Line, Addition,Subtraction, Multiplication, and Division of Real Numbers, Adding and Subtracting Matrices, Distributive Property, Probability and Odds
3. Solving Linear Equations
Concepts: Solving Equations Using Addition, Subtraction, Multiplication and Division, Solving Multi-Step Equations, Solving Equations with Variables on Both Sides, Problem Solving with Linear Equations, Solving Decimal Equations, Formulas and Functions, Rates, Ratios and Percents
2nd Quarter
4. Graphing Linear Equations and Functions
Concepts: Coordinates and Scatter Plots, Graphing Linear Equations, Quick Graphs Using Intercepts and Slope Intercept Form, Slope of a Line, Direct Variation, Solving Linear Equations Using Graphs, Functions and Relations
5. Writing Linear Equations
Concepts: Writing Linear Equations-- in Slope-Intercept Form, Given the Slope and a Point, Given Two Points, Fitting a Line to Data, Forms of Linear Equations--Point-Slope and Standard, Predicting with Linear Model
6. Solving and Graphing Linear Inequalities
Concepts: Solving One-Step, Multi-Step, and Compound Inequalities, Solving Absolute-Value Equations and Inequalities, Graphing Linear Inequalities in Two Variables, Stem-and-Leaf and Box-and-Whisker Plots, Mean, Median and Mode
3rd Quarter
7. Systems of Equations and Inequalities
Concepts: Solving Linear Systems by Graphing, Substitution and Linear Combination, Applications of Linear Systems, Special Types of Linear Systems, Solving Systems of Linear Inequalities
8. Exponents and Exponential Functions
Concepts: Multiplication and Division Properties of Exponents, Zero and Negative Exponents, Scientific Notation, Exponential Growth and Decay Functions
9. Quadratic Equations and Functions
Concepts: Graphing Quadratic Functions, Solving Quadratic Equations by Graphing and by the Quadratic Formula, Applications of the Discriminant, Graphing Quadratic Inequalities, Comparing Linear, Exponential, and Quadratic
4th Quarter
10. Polynomials and Factoring
Concepts:Adding, Subtracting, and Multiplying Polynomials, Special Products of Polynomials, Solving Polynomial Equations in Factored Form, Factoring Quadratics, Special Products and Using the Distributive Property
11. Rational Equations and Functions
Concepts: Ratio and Proportion, Percents, Direct and Inverse Variation, Simplifying Rational Expressions, Adding, Subtracting, Multiplying and Dividing Rational Expressions, Dividing Polynomials, Rational Equations and Functions
12. Radical and Connections to Geometry
Concepts: Functions Involving Square Roots, Operations with Radical Expressions, Solving Radical Equations, Completing the Square, Pythagorean Theorem and Its Converse, Distance and Midpoint Formulas, Trigonometric Ratios, Logical Reasoning and Proof
The Course Text: McDougal Littell : Algebra 1 Applications Equations and Graphs
Class Presentations and Links
First Quarter
8/17/2011 lesson 1.4